1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Simora [160]
3 years ago
12

Identify the zeros of the function f(x) = 2x^2 − 4x + 5 using the Quadratic Formula

Mathematics
1 answer:
Nostrana [21]3 years ago
3 0

For this case we have that by definition, the roots, or also called zeros, of the quadratic function are those values of x for which the expression is 0.

Then, we must find the roots of:

2x ^ 2-4x + 5 = 0

Where:

a = 2\\b = -4\\c = 5

We have to:x = \frac {-b \pm \sqrt {b ^ 2-4 (a) (c)}} {2 (a)}

Substituting we have:

x = \frac {- (- 4) \pm \sqrt {(- 4) ^ 2-4 (2) (5)}} {2 (2)}\\x = \frac {4 \pm \sqrt {16-40}} {4}\\x = \frac {4 \pm \sqrt {-24}} {4}

By definition we have to:

i ^ 2 = -1

So:

x = \frac {4 \pm \sqrt {24i ^ 2}} {4}\\x = \frac {4 \pm i \sqrt {24}} {4}\\x = \frac {4 \pm i \sqrt {2 ^ 2 * 6}} {4}\\x = \frac {4 \pm 2i \sqrt {6}} {4}\\x = \frac {2 \pm i \sqrt {6}} {2}

Thus, we have two roots:

x_ {1} = \frac {2 + i \sqrt {6}} {2}\\x_ {2} = \frac {2-i \sqrt {6}} {2}

Answer:

x_ {1} = \frac {2 + i \sqrt {6}} {2}\\x_ {2} = \frac {2-i \sqrt {6}} {2}

You might be interested in
Which number is NOT an integer?
FinnZ [79.3K]
I believe the answer is C
8 0
3 years ago
Read 2 more answers
3x+12=2x+40 solve for x
Fiesta28 [93]

Answer:

x = 28

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
If there are 160 calories in 8 ounces of milk then, how many calories are there in a 15 ounce cup of milk.
jenyasd209 [6]
300, because 8x20=160 so 1 ounces= 20 calories
15x20=300
8 0
3 years ago
Read 2 more answers
How much heavier is a quarter than a dime?<br> The quarter weighs: 5.67<br> The dime weighs: 2.268
Iteru [2.4K]
A dime weighs 2.268 grams, and a quarter weighs 5.670 grams.
3 0
2 years ago
Write 1.375x10-6 in standard form
liq [111]
1 + .3 +.07+.005 x 10 - 6
7 0
3 years ago
Other questions:
  • Bianca is making scarves to sell. She has 33 peices of blue fabric, 37 peices of green fabric, and 41 peices of red fabric. Supp
    13·1 answer
  • Round each number to the nearest whole number. What is the best estimate for the sum of 317.38 82.21? A. 410 B. 400 C. 399 D. 39
    15·2 answers
  • What if most common factor of 42 and 15
    13·2 answers
  • 12.1 ÷ 0.11 = need hhhhhhhhhhhhhhhhheeeeeeeeeellllllllllllppppppppppppp
    11·2 answers
  • How do i do 4b - 7 - 15b + 3
    14·1 answer
  • Simplified form of 351 + 524 x 72? Pls
    11·1 answer
  • FIND THE SURFACE AREA OF THE HEMISPHERE. PLEASE HELP AND SHOW WORK
    14·1 answer
  • Line I is parallel to line m. If the
    8·1 answer
  • Divisiones que den de residuo 300​
    12·1 answer
  • I need help with this
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!